An Orange Status weather alert is in place from Met Eireann.
The wind blast has cut power to hundreds of homes so far this evening.
More than 700 homes are without power in Killygordon.
Another 300 homes have had power cut off in Fanad; with a further 33 customers on Inch also cut off.
A further 1,241 customers in Kilcar, 450 on Arranmore and more than 40 in Burtonport were also cut off later.
Around 100 customers in Ballyshannon and Bundoran also lost power.
ESB Networks says its crews are working to restore power to all the affected areas.
Winds will subside after midnight but will remain strong throughout the rest of the night.
The storm follows a day of ice and snow chaos on many roads with a number of accidents.
Thankfully no-one was seriously injured.